If and changes sign from positive to negative as increases through
MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
If f′(c)=0 and f′(x) changes sign from positive to negative as x increases through c, which statement is true about f(c)?
(a) f(c) is an inflection point but not an extremum
(b) f(c) is a local maximum
(c) f(c) is a local minimum
(d) No conclusion can be drawn about f(c)